A hybrid multilevel Schwarz method for the bidomain model
From MaRDI portal
Publication:2637903
DOI10.1016/j.cma.2008.04.008zbMath1194.78048OpenAlexW2082742450MaRDI QIDQ2637903
Publication date: 13 September 2010
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2008.04.008
Related Items
Parallel two-level space-time hybrid Schwarz method for solving linear parabolic equations ⋮ A space-fractional monodomain model for cardiac electrophysiology combining anisotropy and heterogeneity on realistic geometries ⋮ Parallel Newton--Krylov BDDC and FETI-DP Deluxe Solvers for Implicit Time discretizations of the Cardiac Bidomain Equations ⋮ Efficient simulation of cardiac electrical propagation using high-order finite elements. II: Adaptive \(p\)-version ⋮ A Parallel Implementation of a Two-Level Overlapping Schwarz Method with Energy-Minimizing Coarse Space Based on Trilinos ⋮ A multilevel extension of the GDSW overlapping Schwarz preconditioner in two dimensions ⋮ Balancing Neumann-Neumann methods for the cardiac bidomain model ⋮ Parallel Scalability of Three-Level FROSch Preconditioners to 220000 Cores using the Theta Supercomputer ⋮ A two-parameter modified splitting preconditioner for the bidomain equations ⋮ Cardiac excitation mechanisms, wavefront dynamics and strength-interval curves predicted by 3D orthotropic bidomain simulations ⋮ A multilevel hybrid Newton-Krylov-Schwarz method for the bidomain model of electrocardiology ⋮ A fully implicit finite element method for bidomain models of cardiac electromechanics ⋮ Computational modeling of electrochemical coupling: a novel finite element approach towards ionic models for cardiac electrophysiology ⋮ A Bidomain Numerical Validation for Assessing Times of Fast and Ending Repolarization from Monophasic Action Potentials ⋮ Framework for Modular, Flexible and Efficient Solving the Cardiac Bidomain Equations Using PETSc ⋮ DUAL-PRIMAL METHODS FOR THE CARDIAC BIDOMAIN MODEL ⋮ Exploring anodal and cathodal make and break cardiac excitation mechanisms in a 3D anisotrop\-ic bidomain model ⋮ COMPUTING CARDIAC RECOVERY MAPS FROM ELECTROGRAMS AND MONOPHASIC ACTION POTENTIALS UNDER HETEROGENEOUS AND ISCHEMIC CONDITIONS ⋮ A reliability analysis of cardiac repolarization time markers ⋮ Bioelectrical effects of mechanical feedbacks in a strongly coupled cardiac electro-mechanical model ⋮ A review and guidance for pattern selection in spatiotemporal system ⋮ Isogeometric overlapping Schwarz preconditioners for the bidomain reaction-diffusion system ⋮ A model-based block-triangular preconditioner for the bidomain system in electrocardiology ⋮ BPX preconditioners for the Bidomain model of electrocardiology ⋮ Parallel multilevel solvers for the cardiac electro-mechanical coupling ⋮ A splitting preconditioner for a block two-by-two linear system with applications to the bidomain equations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Restricted overlapping balancing domain decomposition methods and restricted coarse problems for the Helmholtz problem
- A class of parallel two-level nonlinear Schwarz preconditioned inexact Newton algorithms
- Multilevel Schwarz methods
- Implicit-explicit multistep methods for quasilinear parabolic equations
- Additive Schwarz algorithms for parabolic convection-diffusion equations
- Implicit-explicit methods for reaction-diffusion problems in pattern formation
- Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions
- On domain decomposition algorithms for covolume methods for elliptic problems
- A numerical method for the solution of the bidomain equations in cardiac tissue
- A fully implicit parallel algorithm for simulating the non‐linear electrical activity of the heart
- Reaction–diffusion systems for the microscopic cellular model of the cardiac electric field
- Adaptivity in Space and Time for Reaction-Diffusion Systems in Electrocardiology
- Iterative Methods by Space Decomposition and Subspace Correction
- Convergence of the Galerkin approximation of a degenerate evolution problem in electrocardiology
- Computational electrocardiology: mathematical and numerical modeling
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- A PARALLEL SOLVER FOR REACTION–DIFFUSION SYSTEMS IN COMPUTATIONAL ELECTROCARDIOLOGY
- Multiscale Modeling for the Bioelectric Activity of the Heart
- Computing the Electrical Activity in the Heart
